Tero Kilpelainen, University of Jyvaskyla, Department of Mathematics, P. O. Box 35, 40351 Jyvaskyla, Finland, e-mail: terok@math.jyu.fi
Abstract: In this paper I discuss two questions on $p$-Laplacian type operators: I characterize sets that are removable for Holder continuous solutions and then discuss the problem of existence and uniqueness of solutions to $-\div(|\nabla u|^{p-2}\nabla u)=\mu$ with zero boundary values; here $\mu$ is a Radon measure. The joining link between the problems is the use of equations involving measures.
Keywords: $p$-Laplacian, removable sets
Classification (MSC 2000): 35J60, 35J70
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